100102001210112 has 72 divisors (see below), whose sum is σ = 290637060356160. Its totient is φ = 30333939758080.

The previous prime is 100102001210089. The next prime is 100102001210147. The reversal of 100102001210112 is 211012100201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5924589162 + ... + 5924606057.

It is an arithmetic number, because the mean of its divisors is an integer number (4036625838280).

Almost surely, 2^{100102001210112} is an apocalyptic number.

100102001210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102001210112 is an abundant number, since it is smaller than the sum of its proper divisors (190535059146048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102001210112 is a wasteful number, since it uses less digits than its factorization.

100102001210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11849195249 (or 11849195235 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102001210112 its reverse (211012100201001), we get a palindrome (311114101411113).

The spelling of 100102001210112 in words is "one hundred trillion, one hundred two billion, one million, two hundred ten thousand, one hundred twelve".